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<p>Rotation-based metamaterials are constructed from interconnected rotating rigid units; they typically exhibit negative Poisson’s ratio either for the entire range or within a partial range of their internal angles. This letter exemplifies a rotation-based metamaterial that manifests positive Poisson’s ratio throughout its entire range of internal angle. The metamaterial discussed herein is constructed from two types of triangles with different sizes and shapes, whereby the larger triangles are in the form of right triangles while the smaller ones are in the form of isosceles triangles. The infinitesimal on-axes Poisson’s ratios were modeled by means of geometrical construction. Results of the Poisson’s ratio indicate that this metamaterial exhibits extremely large <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:{v}_{12}\)</EquationSource> </InlineEquation> with a correspondingly diminishing <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:{v}_{21}\)</EquationSource> </InlineEquation> as the major internal angle <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:\theta\:\)</EquationSource> </InlineEquation> approaches zero. The results also suggest that this metamaterial is suitable for applications where rotating rigid units are required but whose effective Poisson’s ratio are not only positive but can be tuned for a wide range.</p>

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A Completely Non-Auxetic Metamaterial Constructed from Interconnected Rotating Rigid Units

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • Teik-Cheng Lim

摘要

Rotation-based metamaterials are constructed from interconnected rotating rigid units; they typically exhibit negative Poisson’s ratio either for the entire range or within a partial range of their internal angles. This letter exemplifies a rotation-based metamaterial that manifests positive Poisson’s ratio throughout its entire range of internal angle. The metamaterial discussed herein is constructed from two types of triangles with different sizes and shapes, whereby the larger triangles are in the form of right triangles while the smaller ones are in the form of isosceles triangles. The infinitesimal on-axes Poisson’s ratios were modeled by means of geometrical construction. Results of the Poisson’s ratio indicate that this metamaterial exhibits extremely large \(\:{v}_{12}\) with a correspondingly diminishing \(\:{v}_{21}\) as the major internal angle \(\:\theta\:\) approaches zero. The results also suggest that this metamaterial is suitable for applications where rotating rigid units are required but whose effective Poisson’s ratio are not only positive but can be tuned for a wide range.